| py2 |
| ||
|
Thank you. |
| Magic 8 Ball |
| ||
|
No. |
| Math Man |
| ||
|
Try non-Euclidean spaces. |
| M.D. |
| ||
|
When Ryan Hall gets his coaching advice |
| combinatorist |
| ||
|
Well, the Pythagorean Theorem relies on Euclidean geometry. If you take for instance, the geometry on the surface of a sphere, then you lose some of the axioms of Euclidean geometry. So, for example, you can find triangles where the sum of the interior angles adds up to more than 180 degrees. To see this, it just takes looking at a globe. Start at the north pole, follow a line of longitude down, make a right-hand turn onto a line of latitude, then walk a little bit, and make another right-hand turn to get back to the north pole. Such a triangle will not satisfy the Pythagorean theorem. In fact, the Pythagorean theorem will not even make sense, since there is no well defined hypotenuse of such a triangle. However, in Euclidean geometry every right triangle will satisfy the Pythagorean Theorem. |
| DontFeedTheTroll |
| ||
|
Any time you don't meet the conditions it will not be true. It is not true for non-right triangles. |
| To those who know |
| ||
|
Is there an x greater than 2 where you can find integers a,b,c to solve the following? a^x + b^x = c ^x |
| canada coach |
| ||
|
It does not work on the surface of the earth which is a sphere. |
| earts |
| ||
|
The Earth is not smooth like a sphere. |
| combinatorist |
| ||
|
Hmm... I was actually looking on Wikipedia about some generalizations of Pythagora's theorem to non-Euclidean space, including it's generalization to spherical geometry. http://en.wikipedia.org/wiki/Pythagorean_theorem#Non-Euclidean_geometry
Read about Fermat's Last Theorem if you want to find out more about this question. It's actually quite an interesting story!!! http://mathworld.wolfram.com/FermatsLastTheorem.html |
| Plagiarized from other posters |
| ||
|
In non-Euclidian geometry, such a hyperbolic geometry. And who made me a big success and brought me wealth and fame?Nikolai Ivanovich Lobachevsky is his name. |
| combinatorist |
| ||
|
|
| religious persian |
| ||
|
-The second just before the Big Bang. -The time following the Big Crunch. -A different universe in which the speed of light is greater than 300,000 km/s. -Wonderland |
| Uncle Buck |
| ||
. This is Fermat's last theorem. And, not too many years ago, it was proved that this equation does not hold for x where x is an integer > 2. The Pythagorean theorem states that, solely for a right triangle, a^2 + b^2 = C^2, where c is the length of the side opposite the right angle and a and b the lengths of the other two sides. |
| Keep Going |
| ||
|
At an event horizon. |
| To those who know |
| ||
|
Oh man, it was already proved? Awhile back I proved it but didn't have quite enough room in the margins of the book I was reading to write it down. . This is Fermat's last theorem. And, not too many years ago, it was proved that this equation does not hold for x where x is an integer > 2. The Pythagorean theorem states that, solely for a right triangle, a^2 + b^2 = C^2, where c is the length of the side opposite the right angle and a and b the lengths of the other two sides.[/quote] |
| i theen |
| ||
|
take Real Analysis |
| cookie crumble |
| ||
|
When the triangle doesn't have a right angle |